고체역학 (Gere) — Torsion: Problem 3.3-14

3.3-14 The steel axle of a large winch on an ocean liner is subjected to a torque of $1.65\text{ kN}\cdot\text{m}$ (see figure). (a) What is the minimum required diameter \(d_{\text{min}}\) if the allowable shear stress is $48\text{ MPa}$ and the allowable rate of twist is \(0.75^\circ/\text{m}\)? (Assume that the shear modulus of elasticity is $80\text{ GPa}$.) (b) Repeat part (a) if the shaft is now hollow with an inner diameter of \(5d/8\). Compare \(d_{\text{min}}\) values to corresponding values from part (a).